Celestial mechanics

, Volume 25, Issue 3, pp 267–270 | Cite as

On a four-body problem

  • Armando Majorana


In this paper we study a particular four-body problem: three bodies revolve around their center of mass in circular orbits under the influence of their mutual gravitational attraction, while a fourth body moves in the plane defined by the three bodies but non influencing their motion. The linear stability of the eight equilibrium points is studied, and it is found that it depends on the values of the masses.


Equilibrium Point Body Move Linear Stability Circular Orbit Gravitational Attraction 
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  1. [1]
    Moulton, F. R.: 1959,An Introduction to Celestial Mechanics, The MacMillan Company, New York.Google Scholar
  2. [2]
    Siegel, C. L. and Moser, J. K.: 1971,Lectures on Celestial Mechanics, Springer-Verlag, New York.Google Scholar
  3. [3]
    Szebehely, V.: 1967,Theory of Orbits, Academic Press, New York.Google Scholar

Copyright information

© D. Reidel Publishing Co. 1981

Authors and Affiliations

  • Armando Majorana
    • 1
  1. 1.Seminario MatematicoIstituto di Astronomia, Universita' di CataniaCataniaItaly

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